Primal and Dual Interface Concentrated Iterative Substructuring Methods
@article{Beuchler2008PrimalAD, title={Primal and Dual Interface Concentrated Iterative Substructuring Methods}, author={Sven Beuchler and Tino Eibner and Ulrich Langer}, journal={SIAM J. Numerical Analysis}, year={2008}, volume={46}, pages={2818-2842} }
This paper is devoted to the fast solution of interface concentrated finite element equations. The interface concentrated finite element schemes are constructed on the basis of a nonoverlapping domain decomposition where a conforming boundary concentrated finite element approximation is used in every subdomain. Similar to boundary element domain decomposition methods, the total number of unknowns per subdomain behaves like $O((H/h)^{(d-1)})$, where $H$, $h$, and $d$ denote the usual scaling… CONTINUE READING
Figures, Tables, and Topics from this paper.
Citations
Publications citing this paper.
SHOWING 1-4 OF 4 CITATIONS
All-floating coupled data-sparse boundary and interface-concentrated finite element tearing and interconnecting methods
VIEW 9 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED
Spectral Analysis, Properties and Nonsingular Preconditioners for Singular Saddle Point Problems
VIEW 1 EXCERPT
CITES BACKGROUND
Fast Solvers and A Posteriori Error Estimates in Elastoplasticity
VIEW 1 EXCERPT
CITES BACKGROUND
References
Publications referenced by this paper.
SHOWING 1-10 OF 37 REFERENCES
Explicit Extension Operators on Hierarchical Grids
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL
A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL
Domain decomposition methods - algorithms and theory
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL
FETI and Neumann--Neumann Iterative Substructuring Methods: Connections and New Results
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL